Optimal horizontal joinability on the Engel group

DOI10.4171/RLM/947zbMath1496.53042MaRDI QIDQ2075659

Yanyan Li

Publication date: 15 February 2022

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupEngel groupRashevskii-Chow theoremhorizontal broken line

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Differential geometry of homogeneous manifolds (53C30) Sub-Riemannian geometry (53C17)

Related Items (2)

The Agrachev-Barilari-Boscain method and estimates for the number of segments of horizontal broken lines joining points in the canonical Carnot group \(G_{3,3}\) ⋮ Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution

Cites Work

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• Some properties of Carnot-Carath'eodory balls in the Heisenberg group
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A Comprehensive Introduction to Sub-Riemannian Geometry

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